4/7 + 6/11 as a fraction

Learn how to find what is 4/7 plus 6/11 in fraction form just in a few minutes. We have covered the easiest method to write 4/7 + 6/11 as a fraction and decimal.

Summary: 4/7 plus 6/11 = 86/77
Since both fractions have unequal denominators, 4/7 plus 6/11 is an unlike fractions addition. For adding unlike fractions, you have to first find the equivalent fractions for fraction 4/7 and fraction 6/11 in order to have the same denominators for both fractions. Therefore, you have to find the LCM of denominators 7 and 11. 77 is the LCM of 7 and 11. Multiplying the LCM 77 with the numerators and denominators of both fractions (4/7 x 77/77) + (6/11 x 77/77), and simplify further in order to have the common denominator. So the equivalent fraction for 4/7 is 44/77 and for 6/11 is 42/77. By simplifying this fraction addition 44/77 + 42/77, it becomes 86/77.

CALCULATION: 4/7 + 6/11 as a fraction
4/7 + 6/11 = (?)
4/7 + 6/11 = [(4 x 11) + (6 x 7)]/(7 x 11)
= (44 + 42)/77
= 86/77
4/7 + 6/11 = 86/77
4/7 plus 6/11 as a fraction is 86/77.

where
4/7 is a proper fraction as an addend,
6/11 is a proper fraction as an addend,
86/77 is the sum of 4/7 and 6/11.

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4/7 plus 6/11 as a decimal
4/7 + 6/11 = 86/77
86/77 = 1.1169
(4/7) + (6/11) as a decimal is 1.1169

where
1.1169 is the sum of 4/7 and 6/11.

The below workout with step by step calculation shows how to find the equivalent fraction between 4/7 and 6/11 by adding two fractions with different, unequal or unlike denominators. The sum in fraction form for 4/7 plus 6/11 can be obtained by using anyone of the two methods below.
1. LCM method
2. Cross multiplication method.

(4/7) + (6/11) using LCM Method:
What is 4/7 plus 6/11 as a fraction?

step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 6/11

What to be found?
(4/7) + (6/11) = ?
Find what's the sum of 4/7 and 6/11.

step 2 Compare the denominators of fractions 4/7 and 6/11 to identify whether it is a like or unlike fraction addition. Since the denominators of given fractions 4/7 and 6/11 are not equal, it is said to be unlike fractions addition.

step 3For unlike fractions addition, find the LCM (least common multiple) of both denominators of fractions 4/7 and 6/11:
The LCM of 7 and 11 is 77.

step 4 Write the fractions 4/7 and 6/11 in the addition expression form and multiply LCM with all the numerators and denominators of both fractions.
= 4/7 + 6/11
= [(4 x 77)/(7 x 77)] + [(6 x 77)/(11 x 77)]

step 5 Simplify the expression to have common denominator:
= 44/77 + 42/77

step 6 Take the common values out and rewrite the above expression like the below:
= 1/77 x (44/1 + 42/1)
= 1/77 x (44 + 42)

step 7Simplify the above expression further:
= 1/77 x 86
= 86/77
4/7 + 6/11 = 86/77

Hence,
4/7 plus 6/11 as a fraction is 86/77.

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4/7 + 6/11 using Cross Multiplication Method:
step 1 Observe the input parameters and what to be found:
Input:
Fraction A: 4/7
Fraction B: 6/11

What to be found?
(4/7)+(6/11) = ?
Find what's the sum of 4/7 and 6/11.

step 2 Find the product of numerator of Fraction A and denominator of Fraction B (4 x 11), find the product of numerator of Fraction B and denominator of Fraction A (6 x 7), and find the product of both denominators of Fraction A and Fraction B (7 x 11) and rewrite the equation as like the below:
= (4 x 11) + (6 x 7)/(7 x 11)

step 3 Simplify and rewrite the fraction:
= (44 + 42)/77
4/7 + 6/11 = 86/77

Hence,
4/7 plus 6/11 in fraction is 86/77